All categories

3 years ago

For the function h(x) =3x/(x+5)(x-4), solve the equation.

Mathematics

1 answer:

LuckyWell [14K]3 years ago

8 0

Answer:

x = 0

Step-by-step explanation:

To 'solve' means to find the x values that make the equation equal zero, so

0 = (3x)/[(x + 5)(x - 4)

Multiply both sides by the denominator to get rid of the fraction

0[(x + 5)(x - 4)] = [(3x)(x + 5)(x - 4)]/[(x + 5)(x - 4)]

0 = 3x

0 = x (divide both sides by 3)

So x = 0 is the solution for this equation

You might be interested in

(02.07)Which relationship is always true for the angles x, y, and z of triangle ABC? A triangle is shown with a leg extending pa

zysi [14]

Check out the attached image. I drew what I think your book is showing. The figure on the left is triangle ABC without any extended segments. The figure on the right has segment AB extended shown in red. This forms the exterior angle x

The rule that connects x, y and z together is the remote interior angle theorem. It says that adding two interior angles is going to be equal to the exterior angle that is not touching either interior angle. The "remote" part means "far away" so just think of the two angles that are furthest way or not touching the exterior angle in question.

In terms of algebra, the rule is
x+y = z

3 0

3 years ago

Read 2 more answers

A car rental company charges $10 a day and 17 cents per mile to rent their cars. If the total charge for a 2-day rental were $61

borishaifa [10]

Answer:

245 miles driven.

Step-by-step explanation:

A car rental company charges $10 a day and 17 cents per mile to rent their cars. 17 cents = 0.17 dollars

Let x be the number of miles and y be the number of days

total change =0.17x + 10y

Given total change is 61.65 and number of days = 2

plug in the values and find out the number of miles

61.65 = 0.17 x + 2(10)

61.65 = 0.17 x + 20

subtract 20 on both sides

41.65 = 0.17x

Divide by 0.17 on both sides

x = 245

245 miles driven.

7 0

3 years ago

What is the

olya-2409 [2.1K]

Answer:

joe mamma!!!

Step-by-step explanation:

7 0

4 years ago

The time needed to complete a final examination in a particular college course is normally distributed with a mean of 77 minutes

Komok [63]

Answer:

a. The probability of completing the exam in one hour or less is 0.0783

b. The probability that student will complete the exam in more than 60 minutes but less than 75 minutes is 0.3555

c. The number of students will be unable to complete the exam in the allotted time is 8

Step-by-step explanation:

a. According to the given we have the following:

The time for completing the final exam in a particular college is distributed normally with mean (μ) is 77 minutes and standard deviation (σ) is 12 minutes

Hence, For X = 60, the Z- scores is obtained as follows:

Z= X−μ /σ

Z=60−77 /12

Z=−1.4167

Using the standard normal table, the probability P(Z≤−1.4167) is approximately 0.0783.

P(Z≤−1.4167)=0.0783

Therefore, The probability of completing the exam in one hour or less is 0.0783.

b. In this case For X = 75, the Z- scores is obtained as follows:

Z= X−μ /σ

Z=75−77 /12

Z=−0.1667

Using the standard normal table, the probability P(Z≤−0.1667) is approximately 0.4338.

Therefore, The probability that student will complete the exam in more than 60 minutes but less than 75 minutes is obtained as follows:

P(60<X<75)=P(Z≤−0.1667)−P(Z≤−1.4167)

=0.4338−0.0783

=0.3555

Therefore, The probability that student will complete the exam in more than 60 minutes but less than 75 minutes is 0.3555

c. In order to compute how many students you expect will be unable to complete the exam in the allotted time we have to first compute the Z−score of the critical value (X=90) as follows:

Z= X−μ /σ

Z=90−77 /12

Z=1.0833

UsING the standard normal table, the probability P(Z≤1.0833) is approximately 0.8599.

Therefore P(Z>1.0833)=1−P(Z≤1.0833)

=1−0.8599

=0.1401

Therefore, The number of students will be unable to complete the exam in the allotted time is= 60×0.1401=8.406

The number of students will be unable to complete the exam in the allotted time is 8

6 0

3 years ago

Three friends arrange to meet at a park entrance, but each friend ends up at a different entrance, as shown in the diagram.

Sladkaya [172]

Answer:

A, B, & D

Step-by-step explanation:

Jaime is at the smallest angle from the two friends.

Pat is at an angle of 90° to Chris and Jaime.

If they meet at Pat’s entrance, then Chris will have walked a shorter distance than Jaime.

3 0

3 years ago

Read 2 more answers

For the function h(x) =3x/(x+5)(x-4), solve the equation.​

For the function h(x) =3x/(x+5)(x-4), solve the equation.